Answer:
x ≈ 8.66
Step-by-step explanation:
Using the sine ratio in the right triangle
sin60° =
= 
Multiply both sides by 10
10 × sin60° = x, thus
x ≈ 8.66 ( to 2 dec. places )
Answer:
y = 2x^2 is a parabola opening up with it's vertex at (0,0)... y=3x^2 -4 is also a parabola opening up, but it is 'thinner' in that it rises in y faster and it's vertex is at (0,-4)
Step-by-step explanation:
all equations of the type y = ax^2 + b are parabolas centered on the y-axis, soo the vertex is always on (0,b)
If a is positive then the parabola opens up,
the bigger a is, the 'thinner' the graph is, i.e. the faster the graph rises
the value of b determines the location of the vertex, if b is added, then the vertex rises over the x-axis, if b is subtracted then the vertex is below the x-axis
1 gallon is 3.78 L
100 sq feet needs 1 L
800 sq feet needs x
100/800 = 1/x
100x = 800
x = 800/100
x = 8 L
If you use the fact that 4 L = 1 gallon then you need 2 gallons of paint. I you use the more accurate 3.78 L then
1 gallon = 3.78 L
x gallon = 8 L
3.78 x = 8*1
x = 8/3.78
x = 2.12 gallons.
I guess you could say that 1 gallon and 1 L would do you.
Answer:
y = 6
Step-by-step explanation:
Let the y-intercept form of the equation of the line is,
y = mx + b
Here, m = Slope of the line
b = y-intercept
Slope of the line passing through two points
and
is given by,
m = 
Slope of the passing through (0, 6) and (5, 6) will be,
m = 
m = 0
Equation of the line with m = 0 will be,
y = 0 + b
y = b
Since, line passes through (0, 6),
By substituting the values in the equation,
b = 6
Therefore, standard equation of the line passing through (0, 6) and (5, 6) will be,
y = 6
3t/4=2p/5 solve for p
p=15t/8
p=1.875 tons of sand